R by Example pp 307-336 | Cite as

Monte Carlo Methods

  • Jim AlbertEmail author
  • Maria Rizzo
Part of the Use R! book series (USE R)


A general problem in probability and statistical applications is the computation of an expectation of a random variable. We illustrate the use of R to compute some expectations by the Monte Carlo method. These computations are helpful in comparing sampling properties of point estimators or evaluating probabilities of coverage of interval estimators. We illustrate the use of Markov chain Monte Carlo (MCMC) methods in simulating from sampling distributions.


Markov Chain Markov Chain Monte Carlo Acceptance Rate Coverage Probability Simulated Sample 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsBowling Green State UniversityBowling GreenUSA

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